We know |x| ≥ 0 for all real numbers. Therefore your answer is x ∈ ∅ (no solution).
The number of nuts in a can of mixed nuts is found to be normally distributed, with a mean of 500 nuts and a standard deviation
2 answers:
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Answer:
There is a 44.12% probability that the defective product came from C.
Step-by-step explanation:
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
-In your problem, we have:
P(A) is the probability of the customer receiving a defective product. For this probability, we have:
In which is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So:
is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:
is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:
So
P(B) is the probability the product chosen being C, that is 50% = 0.5.
P(A/B) is the probability of the product being defective, knowing that the plant chosen was C. So P(A/B) = 0.15.
So, the probability that the defective piece came from C is:
There is a 44.12% probability that the defective product came from C.
Answer:
The ratio of the amount for swordfish to the amount of salmon is 6:4
Step-by-step explanation:
Given as :
The price for 1 pound of swordfish = The price of 1.5 pound of salmon
So, On this relation
The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon
i.e The price for 2 pound of swordfish = The price of 3 pound of salmon
Now According to question
Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39
Let the money she pay for swordfish = 2 sw
And The money she pay for salmon = 3 sa
∵, The total money she pay for both = $ 39
I.e 2 sw + 3 sa = 39
As 2 sw = 3 sa
So, 3 sa + 3 sa = 39
Or, 6 sa = 39
or, sa = =
∴ sw = ×
or, sw =
Now, the ratio of the amount for swordfish to the amount of salmon =
I.e The ratio =
Hence The ratio of the amount for swordfish to the amount of salmon is 6:4
Answer